The equation of a sound wave in air is P = 0.01 cos (l000t - 3x) where P, x, and t are in SI. The...

Question:

The equation of a sound wave in air is P = 0.01 cos (l000t - 3x) where P, x, and t are in SI. The bulk modulus of elasticity is {eq}1.4 \times 10^5 \ N/m^2 {/eq}. The displacement amplitude is:

(a) 0.24 m

{eq}(b) \ 0.24 \times 10^{-7} \ m \\ (c) \ 8 \times 10^{-7} \ m {/eq}

(d) 10 m

Sound Wave:

In physics, sound wave particles are propagated parallel in the moving direction of sound in air so that it is also called longitudinal wave. The equation of sound wave in the pressure form is:

{eq}P = {P_0}\cos \left( {\omega t - kx} \right) {/eq}

Where;

  • {eq}k {/eq} is wave number
  • {eq}\omega {/eq} is angular speed
  • {eq}t {/eq} is time

Answer and Explanation: 1

Become a Study.com member to unlock this answer!

View this answer


Given data:

  • The equation of a sound wave in air is {eq}P = 0.01\left( {1000t - 3x} \right) {/eq}
  • The bulk modulus of elasticity is {eq}B = 1.4...

See full answer below.


Learn more about this topic:

Loading...
Sound Waves Lesson for Kids: Definition & Facts

from

Chapter 1 / Lesson 14
33K

Explore the fascinating world of sound waves to discover what it is people really hear. Investigate how sound waves move through matter and how different vibration speeds create different sounds. Finally, learn why sound waves are important.


Related to this Question

Explore our homework questions and answers library